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Evaluate lim(x to a) ((x + 4)^(5//4) - (...

Evaluate `lim_(x to a) ((x + 4)^(5//4) - (a + 4)^(5//4))/(x - a)`

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(4) (a + 4)^(1//4)`
`underset(x to a)(lim) ((x + 4)^(5//4) - (a + 4)^(5//4))/((x + 4) - (a + 4))`
Let `x + 4 = y` and `a + 4 = b`
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